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Given: In /\ABC and /\PQR, A B=P Q ,\ ...

Given: In `/_\ABC` and `/_\PQR`, `A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q` are extended to `X\ a n d\ Y` respectively and `/_A B X=/_P Q Ydot` Prove that ` A B C~=\ P Q R`

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To prove that triangle ABC is similar to triangle PQR (denoted as \( \triangle ABC \sim \triangle PQR \)), we will use the given information and properties of triangles. ### Step-by-Step Solution: 1. **Given Information**: - \( AB = PQ \) (Given) - \( BC = QR \) (Given) - \( CB \) is extended to point \( X \) and \( RQ \) is extended to point \( Y \). ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, it is given that A B=C F ,\ E F=B D\ a n d\ /A F E=\ /C B...

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  2. In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A...

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  3. Given: In /\ABC and /\PQR, A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R ...

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  4. In Figure, X ,\ Y\ are two points on equal sides A B\ a n d\ A C of...

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  5. Suppose line segments A B\ a n d\ C D intersect at O in such a way tha...

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  6. If D is the mid-point of the hypotenuse A C of a right triangle A B ...

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  7. A B is a line segment and line l is its perpendicular bisector. If a...

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  8. In quadrilateral A C B D ,\ A C=A D\ a n d\ A B\ bisects /A . Show th...

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  9. Prove that A B C is isosceles if any one of the following holds: (i...

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  10. In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively...

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  11. In Figure, P S=Q R\ a n d\ /S P Q=/R Q Pdot Prove that P Q S\ ~=\ Q...

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  12. In right triangle A B C , right angle at C ,\ M is the mid-point of th...

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  13. In Figure, A C=A E ,\ A B=A D\ a n d\ /B A D=/E A Cdot Prove that B C=...

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  14. In Figure, the side B A\ a n d\ C A have been produced such that B A...

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  15. In A P Q R , if P Q=P Q\ a n d\ L ,\ M\ a n d\ N are the mid-points o...

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  16. In Figure, PQRS is a square and SRT is an equilateral triangle. Prove ...

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  17. Prove that the medians of an equilateral triangle are equal.

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  18. In a A B C , if /A=120^0a n d\ A B=A Cdot Find /B\ a n d\ /C

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  19. In A B C , if A B=A C\ a n d\ /B=70^0, find /A

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  20. The vertical angle of an isosceles triangle is 100^0dot Find its bas...

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